What is the Least Common Multiple of 99502 and 99519?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 99502 and 99519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99502 and 99519, than apply into the LCM equation.

GCF(99502,99519) = 1
LCM(99502,99519) = ( 99502 × 99519) / 1
LCM(99502,99519) = 9902339538 / 1
LCM(99502,99519) = 9902339538

Least Common Multiple (LCM) of 99502 and 99519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99502 and 99519. First we will calculate the prime factors of 99502 and 99519.

Prime Factorization of 99502

Prime Factorization of 99519

Now multiplying the highest exponent prime factors to calculate the LCM of 99502 and 99519.

LCM(99502,99519) = 2¹ × 13¹ × 43¹ × 89¹ × 3¹ × 7² × 677¹
LCM(99502,99519) = 9902339538